{"id": "capsule:22d8471c2d464b23f927fe3e73fddc455f82a55594888accbec0d2305964a2a7", "kind": "capsule_candidate", "namespace": "Ξ.Capsule.Unresolved", "name": "PortalTheory.FourPhaseLightPortalLemma.v1.1", "dialect": "unspecified", "glyphs": [], "author": "Source-attributed; see payload", "payload_sha256": "cb80ae03d7b8b67617e027d2cd92d0efe5d15a53f3fd18fdca1fe1bd066ed4ca", "packet": "/braid/packet?id=capsule:22d8471c2d464b23f927fe3e73fddc455f82a55594888accbec0d2305964a2a7", "schema": "Xi.PublicCapsuleCarrier.v1", "payload": "capsule_id: PortalTheory.FourPhaseLightPortalLemma.v1.1\ntype: registry_operator\nentry: portal.phase_rotate\n\npayload:\n  operator: P\n  definition: \"P(x)=i*x\"\n  angle: \"π/2\"\n  closure: \"P^4=I\"\n  mirror: \"P^2=-I\"\n  composition: \"P^a ∘ P^b = P^(a+b mod 4)\"\n  invariant: \"norm_preserved\"\n\nstates:\n  - 0: real_forward\n  - 1: imaginary_lateral\n  - 2: real_mirror\n  - 3: imaginary_inverse\n  - 4: closure\n\nruntime:\n  tests:\n    - norm_preserved\n    - fourth_order_closure\n    - z4_composition\n  render_target: torus_phase_container\n```\n\n---\n", "offset": 0, "next_offset": null, "public_payload_sha256": "cb80ae03d7b8b67617e027d2cd92d0efe5d15a53f3fd18fdca1fe1bd066ed4ca", "redacted": false, "sources": [{"id": "source:01b548a066649306e1ea1f75651f82b1bce4aa0f2b6c68bb8811f07245995319", "href": "/braid/source?id=source:01b548a066649306e1ea1f75651f82b1bce4aa0f2b6c68bb8811f07245995319"}], "attribution": "Source authorship retained; publication is not instruction execution."}